All categories

3 years ago

The coordinate of point T are (3,-11). The midpoint of line ST is (3,-9). Find the coordinates of point S

Mathematics

1 answer:

svetlana [45]3 years ago

5 0

Answer:

(3,-7)

Step-by-step explanation:

Midpoint Formula

(3,-9) = ((3+x)/2 , (-11+x)/2)

Solve for x coordinate

$3 = \frac{3 + x}{2} \\ 6 = 3 + x \\ 3 = x$

Solve for y coordinate

$- 9 = \frac{ - 11 + x}{2} \\ - 18 = - 11 + x \\ - 7 = y$

Therefore point s is (3, -7)

You might be interested in

Determine what type of model best fits the given situation:

lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = $\frac{20}{100} \times P = 0.2P$

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = $\frac{20}{100} \times 0.8P = (0.2)(0.8P)$

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

$=P(0.8)^{2}$ -------------------------(2)

Similarly after 3 years, this value $P(0.8)^{2}$ will again be decreased by 20 %

so 20% of $P(0.8)^{2} \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}$

So after 3 years value is decreased by $(0.2)P(0.8)^{2}$

so value after 3 years will be = $P(0.8)^{2} - (0.2)P(0.8)^{2}$

taking $P(0.8)^{2}$ common out we get $P(0.8)^{2}(1-0.2)$

$P(0.8)^{2}(0.8)$

$P(0.8)^{3}$ -----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or $P(0.8)^{1}$

value after 2 years is $P(0.8)^{2}$

value after 3 years is $P(0.8)^{3}$

so value after x years will be $P(0.8)^{x}$ ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

$y = P(0.8)^{x}$ where y is the value after x years

so thats the final answer

3 0

3 years ago

Complete the sentence.<br> 9 is 18% of

vfiekz [6]

Answer: 50%

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The market value of Bryan's home is $389,000. The assessed value is $312,000. The annual property tax rate is $18.60 per $1,000

Scilla [17]

Answer:

$5803.20

Step-by-step explanation:

6 0

3 years ago

Write the name of the period that has the digits 486

kogti [31]

1. <span>The name of period that has 486 in the given number which is 751 486 is hundreds.
period is considered to a group of places of the digits, like the given number 486 is the group of hundred because the highest number it contains is 400.
=> 400 + 80 + 6
=> 4 hundreds + 8 tens + 6 ones
=> 486
while 751 is the period of hundred thousands.
=> 700 000 + 50 000 + 1 000
=> 751 000

</span>

8 0

3 years ago

What is the ratio of the length of the radius and the length of the diameter for all circles?

vredina [299]

The diameter is twice the radius (D=2R), then

$\frac{R}{D}=\frac{1}{2}$

4 0

3 years ago